12845143296000 has 768 divisors, whose sum is σ = 48075242342400. Its totient is φ = 3425222246400.

The previous prime is 12845143295989. The next prime is 12845143296017. The reversal of 12845143296000 is 69234154821.

12845143296000 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 5 + 1 + 4 + 32 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559860529 + ... + 559883471.

It is an arithmetic number, because the mean of its divisors is an integer number (62597971800).

Almost surely, 2^{12845143296000} is an apocalyptic number.

12845143296000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12845143296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24037621171200).

12845143296000 is an abundant number, since it is smaller than the sum of its proper divisors (35230099046400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12845143296000 is an frugal number, since it uses more digits than its factorization.

12845143296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23001 (or 22953 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12845143296000 in words is "twelve trillion, eight hundred forty-five billion, one hundred forty-three million, two hundred ninety-six thousand".